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Igoryamba
4 years ago
8

The turkeys, Quincy, Lucy, Prudence and John, are making a pumpkin pie and each add a different ingredient. When the pie is fini

shed, there is 1/4 cinnamon left, 1/3 of nutmeg, 1/2 of ginger and 5/8 of pumpkin left. Quincy used the most. Lucy used the least. Prudence used more than John. Who used the ginger?
Mathematics
2 answers:
irina [24]4 years ago
6 0

Answer:

John used the ginger.

Step-by-step explanation:

Consider the provided information.

When the pie is finished, there is 1/4 cinnamon left, 1/3 of nutmeg, 1/2 of ginger and 5/8 of pumpkin left.

First arrange the them in increasing order.

\frac{1}{4}< \frac{1}{3}< \frac{1}{2}< \frac{5}{8}

It is given that Quincy used the most ingredient, that means Quincy left with least amount of ingredients. The least number among them is 1/4 which is cinnamon.

So Quincy used cinnamon.

It is given that Lucy used the least ingredient, that means most of the her ingredients were left which is pumpkin i.e 5/8

So Lucy used pumpkin.

It is given that Prudence used more ingredient than John, that means Prudence left with the less ingredients as compare to John which is nutmeg i.e 1/3

Thus, Prudence used nutmeg.

Hence, John used the ginger.

jarptica [38.1K]4 years ago
4 0

Answer:

Prudence

Step-by-step explanation:

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den301095 [7]

Answer:

Each square should have 5 inches of side and area = 25 square inches.

Step-by-step explanation:

Candy box is made that measures 45 by 24 inches.

Let the squares of equal size x inches has been cut out of each corner.

The sides will then be folded up to form a rectangular box.

Now we have to find the size of square that should be cut from each corner to obtain maximum volume of the box.

Now the box is with length = (45 - 2x) inches

and width = (24 - 2x) inches

and height = x inches

Volume of the candy box = Length × width × height

V = (45 - 2x)(24 - 2x)(x)

V = x(1080 - 48x -90x + 4x²)

  = x(1080 - 138x + 4x²)

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Now we will find the derivative of volume and equate it to zero.

\frac{dV}{dx}=12x^{2}-276x+1080=0

12(x² - 23x + 90) = 0

x² - 23x + 90 = 0

x² - 18x - 5x + 90 = 0

x(x - 18) - 5(x - 18) = 0

(x - 5)(x - 18)=0

x = 5, 18

Now for x = 18 Width of the box will be = (24 - 2×18) = 24 - 36 = -12

Which is not possible.

Therefore, x = 5 will be the possible value.

Therefore, square having area 25 square inches should be cut out from each corner to get the maximum volume of candy box.

6 0
4 years ago
PQRS is a parallelogram. If mQRS = (9x - 20)° and
ivolga24 [154]

Answer:

x = 8.5

Step-by-step explanation:

In this question, we are to calculate the value of x.

To calculate this, we shall be utilizing one of the important properties of parallelogram.

This property is that opposite angles of a parallelogram are equal.

This means that mQSR = mSPQ = 4x + 90

Now to finally calculate x, we make use of another important parallelogram property which is that angles of parallelogram which faces each other are supplementary.

This means that they add up to be 180

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This means that;

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You jogged 3.7 total miles! 2.2 - 0/7 = 1.5 + 2.2 = 3.7! Hope I helped! 
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3 years ago
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Vilka [71]

Answer:

-1

Step-by-step explanation:

To find the slope given two points use the formula

m = ( y2-y1)/(x2-x1)

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5 0
3 years ago
100 points will give brainly please help
Stels [109]
Answer:
1. Sum of the interior angles = 720°
2. (6x) + (5x + 26.5) + (7x - 8) + (4x + 21.5) + (5x + 19) + (10x + 13.5) = 720
3. Angle A = 6x = 6(17.5) = 105
Angle B = (5x + 26.5) = 114
Angle C = (7x - 8) = 114.5
Angle D = (4x + 21.5) = 91.5
Angle E = (5x + 19) = 106.5
Angle F = (10x + 13.5) = 188.5

Step-by-step explanation:
1. The sum of the interior angles = (The number of sides - 2) times 180
The sum of the angles of this polygon with 6 sides is 6 - 2) times 180 = 720°.
2. ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 720°
(6x) + (5x + 26.5) + (7x - 8) + (4x + 21.5) + (5x + 19) + (10x + 13.5) = 720
37x + 72.5 = 720 Simplify adding x terms and numbers)
37x = 647.5 Subtract 72.5 from both sides
x = 17.5 Dividing both sides by 37

Solve for each angle using x = 17.5
3. Angle A = 6x = 6(17.5) = 105
Angle B = (5x + 26.5) = 114
Angle C = (7x - 8) = 114.5
Angle D = (4x + 21.5) = 91.5
Angle E = (5x + 19) = 106.5
Angle F = (10x + 13.5) = 188.5
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2 years ago
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